Coefficient of kinetic friction of car collision

[xshezsciencex]

Two cars collide causing them to skid 17m at an angle of 30degrees north east before stopping. One car is 1180kg and the other is 1000kg. The coefficient of kinetic friction for a rubber tire slidin on pavement is 0.80

How would I determine the 1000kg cars' speed before the collision?

My attempt:
Conservation of Momentum
P(final)y
y= 30degrees

coefficient friction = Mv
f = Mmg (m is the mass)

 

[ideasrule]

Conservation of Momentum
P(final)y
y= 30degrees

First, the conservation of momentum says that P(initial)x=P(final)x and P(initial)y=P(final)y. However, there isn't enough information in this question for you to solve it. Are you sure you're not given the initial velocity of the 1180 kg car?

 

[kerimek]

To determine the 1000kg car's speed before the collision, we can use the equation for conservation of momentum, which states that the total momentum before a collision is equal to the total momentum after the collision. In this case, we know that the cars collide and skid to a stop, so the total momentum before the collision is equal to the final momentum of both cars after the collision.

To calculate the final momentum, we first need to find the final velocity of both cars after the collision. We can use the equation for kinetic friction to find the force of friction acting on the cars during the skid. This force will be equal to the product of the coefficient of kinetic friction (0.80) and the normal force, which is equal to the weight of the car (mass * acceleration due to gravity).

Next, we can use the equation for Newton's second law, F=ma, to find the acceleration of the cars during the skid. We know that the cars are skidding for a distance of 17m, so we can use the equation for uniform acceleration, d=0.5at^2, to find the time it takes for the cars to stop.

Once we have the time and acceleration, we can use the equation v=u+at to find the final velocity of the cars after the collision. Since we know the final velocity and the angle at which the cars are skidding (30 degrees), we can use trigonometry to find the horizontal component of the velocity, which is the velocity of the 1000kg car before the collision.

Therefore, the 1000kg car's speed before the collision can be determined by using the equations for conservation of momentum, kinetic friction, Newton's second law, and uniform acceleration, along with trigonometry to find the horizontal component of the final velocity.